Generalized rotation sets and rotational entropy for circle maps

DOI10.1016/j.jmaa.2024.128090OpenAlexW4390618930MaRDI QIDQ6198308

Wei-Feng Jiang

Publication date: 21 February 2024

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2024.128090

zbMATH Keywords

liftingcircle mapgeneralized rotation setgeneralized rotational entropy

Mathematics Subject Classification ID

Ergodic theory (37Axx) Smooth dynamical systems: general theory (37Cxx) Local and nonlocal bifurcation theory for dynamical systems (37Gxx)

Cites Work

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• Rotational entropy for annulus homeomorphisms
• Bifurcations and stability of families of diffeomorphisms
• Rotation sets of maps of the annulus
• Rotation intervals of endomorphisms of the circle
• Rotation Sets for Maps of Tori
• Rotation sets are closed
• Periodic Orbits and the Continuity of Rotation Numbers
• Asymptotic entropy, periodic orbits, and pseudo-Anosov maps
• Rotation and entropy
• Rotational entropy -- a homotopy invariant for torus maps

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